SOME IDENTITIES ON DEGENERATE BELL POLYNOMIALS AND THEIR RELATED IDENTITIES
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Recently, several types of degenerate Bell polynomials have been introduced as degenerate versions of the ordinary Bell polynomials. The aim of this paper is to study some identities for the degenerate Bell polynomials and their related identities by making use of series transformation formula obtained by Boyadzhiev. In particular, this answers to the natural question about the relationship between two different types of degenerate Bell polynomials.
Abstract
Recently, several types of degenerate Bell polynomials have been introduced as degenerate versions of the ordinary Bell polynomials. The aim of this paper is to study some identities for the degenerate Bell polynomials and their related identities by making use of series transformation formula obtained by Boyadzhiev. In particular, this answers to the natural question about the relationship between two different types of degenerate Bell polynomials.
참고문헌 (12)
- Bell, E. T., "Exponential numbers", Amer. Math. Monthly, 41(7), pp.411~419 (1934)
- Boyadzhiev, K. N., "A series transformation formula and related polynomials", Int. J. Math. Math. Sci, (23), pp.3849~3866 (2005)
- Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- Comtet, L., "Advanced combinatorics" (1974), D. Reidel
- Kim, D. S., "A note on a new type of degenerate Bernoulli numbers", Russ. J. Math. Phys, 27(2), pp.227~235 (2020)
- Kim, T., "Degenerate zero-truncated Poisson random variables", Russ. J. Math. Phys, 28(1), pp.66~72 (2021)
- Kim, T., "Degenerate polyexponential functions and degenerate Bell polynomials", J. Math. Anal. Appl, 487(2), pp.124017~124031 (2020)[DOI]
- 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
- Kim, T, "A note on some identities of new type degenerate Bell polynomials", Mathematics, 7(11), pp.1086~ (2019)
- Riordan, J., "Combinatorial identities" (1968), John Wiley & Sons
- 1984, , ~
- Sharma, S. K, "New construction of type 2 degenerate central Fubini polynomials with their certain properties", Adv. Difference Equ, pp.11~ (2020)[DOI]